Reactivity of Niobium− Carbon Cluster Ions with Hydrogen Molecules

Reactivity of Niobium-Carbon Cluster Ions with Hydrogen Molecules in Relation to. Formation Mechanism of Met-Car Cluster Ions. Ken Miyajima, Naoya ...
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2008, 112, 5774–5776 Published on Web 06/07/2008

Reactivity of Niobium-Carbon Cluster Ions with Hydrogen Molecules in Relation to Formation Mechanism of Met-Car Cluster Ions Ken Miyajima, Naoya Fukushima, and Fumitaka Mafune´* Department of Basic Science, Graduate School of Arts and Sciences, The UniVersity of Tokyo, Komaba, Meguro-ku, Tokyo 153-8902, Japan ReceiVed: April 15, 2008; ReVised Manuscript ReceiVed: May 20, 2008

It is known that a niobium-carbon Met-Car cluster ion (Nb8C12+) and its intermediates (Nb4C4+, Nb6C7+, etc.) are selectively formed by the aggregation of the Nb atoms in the presence of hydrocarbons. To elucidate the formation mechanism, we prepared NbnCm+ with every combination of n and m in the gas phase by the laser vaporization technique. The reactivity of NbnCm+ with H2 was examined under the multiple collision condition, finding that NbnCm+ between Nb2C3+ and Nb8C12+ are not reactive with H2. On the basis of the H2 affinity of NbnCm+ experimentally obtained, we propose a dehydrogenation-controlled formation mechanism of niobium-carbon Met-Car cluster ions. Introduction Since the first report of metallocarbohedrene, Ti8C12, in 1992, a variety of types of metal carbon clusters have been investigated.1–6 For niobium carbon clusters, NbnCm, two types of stoichiometries have been studied intensively: those corresponding to cubic crystallites (e.g., Nb4C4, Nb14C13) and metallocarbohedrenes (Nb8C12, Nb13C22).6–12 These clusters were generated in pulsed laser vaporization sources, in which Nb atoms aggregate in the presence of hydrocarbons. Several groups have found that Nb4C4+, Nb6C7+, Nb8C12+, and Nb14C13+ dominantly and selectively formed in the gas phase. Because these cluster ions range in 1 e m/n e 1.5, it was believed that building blocks, NbC and NbC2, generated in the laser vaporization sources aggregate to form cluster ions with different stoichiometries. However, the formation mechanism of NbnCm+ is not known well.13,14 The purpose of the present study is to propose the formation mechanism based on experimental studies. In this relation, NbnCm+ were prepared in the gas phase by a different method: We used two separate pulsed lasers to generate niobium atoms from a niobium metal rod and carbon atoms from a bulk graphite rod in the gas phase by laser vaporization in a manner similar to Kaya and co-workers.15 It was found that NbnCm+ with 1 e m/n e 1.5 are not necessarily “magic stoichiometries” (see Figure 1). Hence, we supposed that the dehydrogenation reaction from hydrocarbons must be a bottleneck process in the selective formation of NbnCm+ with 1 e m/n e 1.5. To reveal the dehydrogenation processes, we examined the counter reaction of dehydrogenation, that is, hydrogenation of NbnCm+, elucidating the specific behavior of NbnCm+ with 1 e m/n e 1.5. Experimental Section A niobium metal rod (99.9%) and a graphite rod (99.99%) were set downstream of the supersonic source from a solenoid * Corresponding author. E-mail: [email protected].

10.1021/jp803247h CCC: $40.75

Figure 1. Mass spectrum of NbnCm+ produced by laser vaporization using two separate pulsed lasers to generate niobium atoms and carbon atoms in the gas phase.

pulsed valve (General Valve). The rods were irradiated with tightly focused laser pulses (∼10 mJ/pulse) at a wavelength of 532 nm from a Quanta Ray GCR-170 and from a Continuum Surelite II Nd:YAG laser for generating the plasma. The evaporated niobium atoms and carbon atoms were cooled in the gas phase by the He gas (>99.99995%; 9 atm) from the valve, forming NbnCm+ clusters. The clusters then entered into the collision cell filled with H2 gas (>99.99999%; 4 atm) from another General valve. After the multiple collisions of He and H2 in the collision cell, the cluster ions entered the vacuum chamber (typically ∼8 × 10-4 Torr) and were introduced into the differentially pumped chamber through a skimmer, where the cluster ions were accelerated orthogonally by a pulsed electric field for the time-of-flight mass analysis. The resolution of the mass spectrometer exceeds 1000, which allows observing the attachment of a light hydrogen atom to NbnCm+. Results and Discussion Figure 1 shows a mass spectrum when the collision cell was filled with no H2 gas. There are ion peaks assigned to  2008 American Chemical Society

Letters

J. Phys. Chem. A, Vol. 112, No. 26, 2008 5775

Figure 2. Mass spectra of ions before and after the reaction with H2 in the gas cell are shown in a and b, respectively.

NbnCm+with every combination of n and m in the size range 1 e n e 9, 0 e m e 16 in a mass spectrum, except for NbO+. Figure 2a and b shows mass spectra before and after NbnCm+ were subjected to reaction with H2 in the gas cell, respectively. In Figure 2b, ion peaks assignable to NbnCmHk+ (k ) 1, 2, 3, ...) were observed in addition to the parent ions NbnCm+. There appear cluster ions containing odd numbers of hydrogen atoms in the mass spectrum, suggesting that hydrogen molecules adsorb onto the cluster ions as atoms after dissociating the chemical bond of the hydrogen molecules. Hence, we are able to assert that hydrogen molecules adsorb onto the cluster ions not by weak physical forces, but by strong chemical bonds (chemisorption). When NbnCm+ reacts with the hydrogen molecules, the peak intensities of NbnCm+ decrease. For instance, the intensity of Nb2C4+ was reduced significantly, whereas Nb2C4Hk+ (k ) 1-5) begin to appear in the mass spectrum. From the decrease of Nb2C4+, we can suggest that Nb2C4+ is reactive with the H2 molecules. On the other hand, the intensity of Nb2C3+ after the multiple collisions with H2 is almost the same as the intensity of Nb2C3+ before the collisions, inferring that Nb2C3+ is not reactive with the H2 molecules. By examining the mass distribution closely, we found that collisional hydrogenation accompanies dissociation of the cluster ions, releasing Nb, C, and H atoms. Hence, we cannot determine uniquely the parent of the product ion, as far as the reactions of the size-selected cluster ions were examined. However, what we should emphasize here is that at least Nb2C3+ survives the multiple collisions by the H2 molecules, and hence, it hardly reacts with H2. Figure 3 exhibits as a map the ratio of the ion intensity of NbnCm+ after the reaction with H2 to the ion intensities before the reaction. Evidently, there are cluster ions which exhibit lower ratios (close to zero) and higher ratios (more than 0.5). Taking the collisional dissociation of NbnCm+ into account, we are able to consider that the cluster ions showing the higher ratios have essentially no reactivity with H2. In fact, Freiser and co-workers observed that Nb6C7+, whose ratio of ion intensity is 0.6 in Figure 3, does not react with H2 when it is trapped in the H2 gas at 2 × 10-7 Torr for up to 10 s.11 The plot depicts the general tendency that Nb-rich cluster ions are more reactive than the C-rich cluster ions. More importantly, in Figure 4, NbnCm+ located between Nb2C3+ and Nb8C12+ form a ridge in the plot, indicating that these cluster ions are not reactive with H2. In addition, there is a gap at Nb5C5+ in the ridge. The nonreactivity of NbnCm+ with H2 indicates that the energy barrier for the H2 attachment is high enough or the H2 attachment is energetically unfavorable (or both), meaning that NbnCm+ has a negative H2 affinity. Under these conditions, the counter

Figure 3. Ratio of ion intensity of NbnCm+ after the reaction with H2 to the ion intensity before the reaction. The higher value indicates the lower reactivity of NbnCm+ with H2. Superimposed yellow bubbles display the ion abundances observed by Duncan’s group using a 532 nm laser for vaporization.7 Solid lines indicate the carbon-to-metal ratio for cage structures and cubic structures.

Figure 4. 3D map showing the ratio of the intensity of NbnCm+ after the reaction with H2 to the ion intensity before the reaction. A ridge between Nb2C3+ and Nb8C12+ indicates that these clusters have lower reactivities with H2.

reaction, that is, dehydrogenation of NbnCmHk+, should proceed readily because the reaction is energetically favorable. This conjecture is supported by the fact that in the aggregation of the Nb atoms in the presence of hydrocarbons, Nb3C2+ and Nb3C3+ having a negative H2 affinity were produced as the dehydrogenated cluster ions, whereas Nb3Cmg4+ having a positive H2 affinity were generated together with their hydrogenated ones (see ref. 10 Figure 1).10 Hence, we assume that the formation of hydrogenated or the dehydrogenated cluster ions is determined by the H2 affinity, although the reactivity depends not only on the H2 affinity, but also on the energy barriers and the prefactors of individual reactions, in general. Now we can propose the growth processes of NbnCm+ using methane as an example. The growth of Nbn-1Cm-1+ to NbnCm-1+ is caused by the attachment of the Nb atom (reaction 1), whereas the growth of NbnCm-1+ to NbnCm+ proceeds by two steps: attachment of CH4 (reaction 2) and subsequent dehydrogenation (reaction 3).

Nbn-1Cm-1+ + Nb f NbnCm-1+

(1)

NbnCm-1++CH4 f NbnCmH+ 4

(2)

NbnCmH4+ f NbnCm++2H2

(3)

Reactions 1–3 proceed repetitively, and the cluster ions grow until stable Nb8C12+ or larger cluster ions are formed. If

5776 J. Phys. Chem. A, Vol. 112, No. 26, 2008 dehydrogenation reaction 3 does not proceed, the cluster ions remain hydrogenated. It is expected that the hydrogenated cluster ions will not grow further. As shown in Figure 4, NbnCm+ between Nb2C3+ and Nb8C12+ has the negative H2 affinity. Hence, NbnCm+ is considered to grow along the ridge until Nb8C12+ under the condition that Nb atoms are continuously supplied. Beyond Nb8C12+, the nearest cluster ion that has a negative affinity is Nb9C16+.5 The large gap between Nb8C12+ and Nb9C16+ may decelerate the growth, resulting in abundant formation of Nb8C12+ in the gas phase. In fact, NbnCm+ observed by Duncan and co-workers are situated along the ridge (see Figure 3), and the abundances of them are higher, especially at n ) 4, 6, 7, and 8, when NbnCm+ has a negative affinity.7 The H2 affinity of NbnCm+ depending upon the stoichiometry relates to the electronic structures. Dance and co-workers calculated the geometrical and electronic structures of NbnCm and NbnCm+ (m/n ∼ 1) by the density functional method.16 The calculated values of the HOMO-LUMO gap of NbnCm+ correlate well with the reactivities of NbnCm+ with H2, suggesting that the negative H2 affinity of the cluster ions is due to the larger HOMO-LUMO gap. In summary, we prepared NbnCm+ with every combination of n and m in the gas phase by the laser vaporization technique. The reactivity of NbnCm+ with H2 was examined under the multiple collision condition. We found that NbnCm+ between Nb2C3+ and Nb8C12+ have a negative H2 affinity. This finding is consistent with the selective growth of NbnCm+ (1 e m/n e 1.5) by the dehydrogenation reaction of hydrocarbons. Acknowledgment. This work is supported by the Grant-inAids for Scientific Research (B) (no. 19350005) from the

Letters Ministry of Education, Culture, Sports, Science and Technology, Japan (MEXT), and by the Genesis Research Institute, Inc. for cluster research. F.M. acknowledges Dr. Greg Metha and Professor Mark A. Buntine for helpful discussions on the experimental setup. References and Notes (1) Guo, B. C.; Kerns, K. P.; Castleman, A. W., Jr Science 1992, 255, 1411–1413. (2) Guo, B. C.; Wei, S.; Purnell, J.; Buzza, S.; Castleman, A. W., Jr Science 1992, 256, 515–516. (3) Wei, S.; Guo, B. C.; Purnell, J.; Buzza, S.; Castleman, A. W., Jr. Science 1992, 256, 808–820. (4) Pilgrim, J. S.; Duncan, M. A. J. Am. Chem. Soc. 1993, 115, 9724– 9727. (5) Wei, S.; Castleman, A. W., Jr Chem. Phys. Lett. 1994, 227, 305– 311. (6) He, S.-G.; Xie, Y.; Dong, F.; Bernstein, E. R. J. Chem. Phys. 2006, 125, 164306. (7) Pilgrim, J. S.; Brock, L. R.; Duncan, M. A. J. Phys. Chem. 1995, 99, 544–550. (8) Purnell, J.; Wei, S.; Castleman, A. W., Jr Chem. Phys. Lett. 1994, 229, 105–110. (9) Wei, S.; Guo, B.; Deng, H.; Kerns, K.; Purnell, J.; Buzza, S.; Castleman, A. W., Jr J. Am. Chem. Soc. 1994, 116, 4475–4476. (10) Yeh, C. S.; Byun, Y. G.; Afzaal, S.; Kan, S. Z.; Lee, S.; Freiser, B. S.; Hay, P. J. J. Am. Chem. Soc. 1995, 117, 4042–4048. (11) Byun, Y. G.; Kan, S. Z.; Lee, S. A.; Kim, Y. H.; Miletic, M.; Bleil, R. E.; Kais, S.; Freiser, B. S. J. Phys. Chem. 1996, 100, 6336–6341. (12) Byun, Y. G.; Lee, S. A.; Kan, S. Z.; Freiser, B. S. J. Phys. Chem. 1996, 100, 14281–14288. (13) Wang, L.-S.; Cheng, H. Phys. ReV. Lett. 1997, 78, 2983–2986. (14) Mun˜oz, J.; Rohmer, M.-M.; Be´nard, M.; Bo, C.; Poblet, J.-M. J. Phys. Chem. A 1999, 103, 4762–4768. (15) Nakajima, A.; Kaya, K. J. Phys. Chem. A 2000, 104, 176–191. (16) Harris, H.; Dance, I. J. Phys. Chem. A 2001, 105, 3340–3358.

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